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Finding the Fourth Proportional to 57,792, 79,752.96 and 31,296

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Solution

The fourth proportional to 57,792, 79,752.96 and 31,296 is: 43,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,792 : 79,752.96 = 31,296 : x
  2. Step 2: Convert to fraction form
    57,792/79,752.96 = 31,296/x
  3. Step 3: Cross multiply
    57,792x = 79,752.96 × 31,296
  4. Step 4: Simplify right side
    57,792x = 2,495,948,636.16
  5. Step 5: Solve for x
    x = 2,495,948,636.16/57,792
  6. Step 6: Final answer
    x = 43,188.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.